"cap off" meaning in All languages combined

See cap off on Wiktionary

Verb [English]

Forms: caps off [present, singular, third-person], capping off [participle, present], capped off [participle, past], capped off [past]
Head templates: {{en-verb|*}} cap off (third-person singular simple present caps off, present participle capping off, simple past and past participle capped off)
  1. (transitive) To finish by making one last addition. Tags: transitive
    Sense id: en-cap_off-en-verb-fMqeYb1A
  2. (mathematics, transitive) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary). Tags: transitive Categories (topical): Mathematics
    Sense id: en-cap_off-en-verb-utYwrhei Categories (other): English entries with incorrect language header, English phrasal verbs with particle (off) Disambiguation of English entries with incorrect language header: 14 86 Disambiguation of English phrasal verbs with particle (off): 22 78 Topics: mathematics, sciences

Inflected forms

Download JSON data for cap off meaning in All languages combined (3.2kB)

{
  "forms": [
    {
      "form": "caps off",
      "tags": [
        "present",
        "singular",
        "third-person"
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    },
    {
      "form": "capping off",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "capped off",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "capped off",
      "tags": [
        "past"
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    }
  ],
  "head_templates": [
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      "expansion": "cap off (third-person singular simple present caps off, present participle capping off, simple past and past participle capped off)",
      "name": "en-verb"
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  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [],
      "glosses": [
        "To finish by making one last addition."
      ],
      "id": "en-cap_off-en-verb-fMqeYb1A",
      "links": [
        [
          "finish",
          "finish"
        ]
      ],
      "raw_glosses": [
        "(transitive) To finish by making one last addition."
      ],
      "tags": [
        "transitive"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "14 86",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "22 78",
          "kind": "other",
          "name": "English phrasal verbs with particle (off)",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "a. 1997, Rob[ion] Kirby, \"Problems in Low-Dimensional Topology\", problem 3.21, in, 1997, William H[ilal] Kazez, editor, Geometric Topology, proceedings of the 1993 Georgia International Topology Conference, AMS/IP Studies in Advanced Mathematics 2, American Mathematical Society, →ISBN, part 2, page 163,\nLet X be an acyclic 2-complex and M an abstract regular neighborhood of X; ∂M_0=S², so cap off to get a homology 3-sphere M³."
        },
        {
          "text": "a. 1997, Michael T. Anderson, \"Scalar Curvature and Geometrization Conjectures for 3-Manifolds\", in, 1997, Karsten Grove and Peter Petersen, editors, Comparison Geometry, Mathematical Sciences Research Institute Publications 30, →ISBN, page 53,\nNote, however, that when one cuts a 3-manifold along an incompressible torus, there is no canonical way to cap off the boundary components thus created, as is the case for spheres. For any toral boundary component, there are many ways to glue in a solid torus... ."
        },
        {
          "ref": "1997, W[illiam] B[ernard] Raymond Lickorish, An Introduction to Knot Theory, Graduate Texts in Mathematics 175, Springer, page 61",
          "text": "Cap off, with discs just above the annulus, any circuits that bound in the annulus; then use annuli to cap off adjacent pairs of curves that encircle the annulus in opposite directions.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary)."
      ],
      "id": "en-cap_off-en-verb-utYwrhei",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "glue",
          "glue"
        ],
        [
          "manifold",
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        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "component",
          "component"
        ],
        [
          "boundary",
          "boundary"
        ]
      ],
      "raw_glosses": [
        "(mathematics, transitive) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary)."
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cap off"
}
{
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    "English lemmas",
    "English multiword terms",
    "English phrasal verbs",
    "English phrasal verbs with particle (off)",
    "English verbs"
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  "forms": [
    {
      "form": "caps off",
      "tags": [
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    },
    {
      "form": "capping off",
      "tags": [
        "participle",
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    },
    {
      "form": "capped off",
      "tags": [
        "participle",
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    },
    {
      "form": "capped off",
      "tags": [
        "past"
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    }
  ],
  "head_templates": [
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      "expansion": "cap off (third-person singular simple present caps off, present participle capping off, simple past and past participle capped off)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "English transitive verbs"
      ],
      "glosses": [
        "To finish by making one last addition."
      ],
      "links": [
        [
          "finish",
          "finish"
        ]
      ],
      "raw_glosses": [
        "(transitive) To finish by making one last addition."
      ],
      "tags": [
        "transitive"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "English transitive verbs",
        "en:Mathematics"
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      "examples": [
        {
          "text": "a. 1997, Rob[ion] Kirby, \"Problems in Low-Dimensional Topology\", problem 3.21, in, 1997, William H[ilal] Kazez, editor, Geometric Topology, proceedings of the 1993 Georgia International Topology Conference, AMS/IP Studies in Advanced Mathematics 2, American Mathematical Society, →ISBN, part 2, page 163,\nLet X be an acyclic 2-complex and M an abstract regular neighborhood of X; ∂M_0=S², so cap off to get a homology 3-sphere M³."
        },
        {
          "text": "a. 1997, Michael T. Anderson, \"Scalar Curvature and Geometrization Conjectures for 3-Manifolds\", in, 1997, Karsten Grove and Peter Petersen, editors, Comparison Geometry, Mathematical Sciences Research Institute Publications 30, →ISBN, page 53,\nNote, however, that when one cuts a 3-manifold along an incompressible torus, there is no canonical way to cap off the boundary components thus created, as is the case for spheres. For any toral boundary component, there are many ways to glue in a solid torus... ."
        },
        {
          "ref": "1997, W[illiam] B[ernard] Raymond Lickorish, An Introduction to Knot Theory, Graduate Texts in Mathematics 175, Springer, page 61",
          "text": "Cap off, with discs just above the annulus, any circuits that bound in the annulus; then use annuli to cap off adjacent pairs of curves that encircle the annulus in opposite directions.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary)."
      ],
      "links": [
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        ],
        [
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        [
          "component",
          "component"
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        ]
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      "raw_glosses": [
        "(mathematics, transitive) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary)."
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
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  "word": "cap off"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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